Other Intangible Assets and Goodwill (Finite-Lived Intangible Assets) (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 29, 2019	Sep. 30, 2018	Oct. 01, 2017
Finite-Lived Intangible Assets [Line Items]
Amortization of Intangible Assets	$ 232.8	$ 186.5	$ 57.5
Gross carrying amount	1,181.4	1,182.2
Accumulated amortization	(603.0)	(371.0)
Net Carrying Amount	578.4	811.2
Acquired and reacquired rights [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	1,075.0	1,081.7
Accumulated amortization	(537.2)	(320.1)
Net Carrying Amount	537.8	761.6
Acquired trade secrets and processes [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	27.6	27.6
Accumulated amortization	(19.2)	(16.5)
Net Carrying Amount	8.4	11.1
Trade Names, trademarks and patents [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	40.6	33.0
Accumulated amortization	(22.9)	(19.5)
Net Carrying Amount	17.7	13.5
Licensing agreements [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	16.2	14.3
Accumulated amortization	(12.2)	(5.1)
Net Carrying Amount	4.0	9.2
Other finite-lived intangible assets [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	22.0	25.6
Accumulated amortization	(11.5)	(9.8)
Net Carrying Amount	$ 10.5	$ 15.8